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Finding the Third Proportional to 173,272 and 275,680

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Solution

The third proportional to 173,272 and 275,680 is: 438,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,272 : 275,680 = 275,680 : x
  2. Step 2: Convert to fraction form
    173,272/275,680 = 275,680/x
  3. Step 3: Cross multiply
    173,272x = 275,680 × 275,680
  4. Step 4: Simplify right side
    173,272x = 75,999,462,400
  5. Step 5: Solve for x
    x = 75,999,462,400/173,272
  6. Step 6: Final answer
    x = 438,613.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.